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Finding the Fourth Proportional to 11,634.40, 16,043.52 and 9,112

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Solution

The fourth proportional to 11,634.40, 16,043.52 and 9,112 is: 12,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.40 : 16,043.52 = 9,112 : x
  2. Step 2: Convert to fraction form
    11,634.40/16,043.52 = 9,112/x
  3. Step 3: Cross multiply
    11,634.40x = 16,043.52 × 9,112
  4. Step 4: Simplify right side
    11,634.40x = 146,188,554.24
  5. Step 5: Solve for x
    x = 146,188,554.24/11,634.40
  6. Step 6: Final answer
    x = 12,565.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.